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Finding the Fourth Proportional to 1,142.08, 1,711.74 and 524.92

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Solution

The fourth proportional to 1,142.08, 1,711.74 and 524.92 is: 786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.08 : 1,711.74 = 524.92 : x
  2. Step 2: Convert to fraction form
    1,142.08/1,711.74 = 524.92/x
  3. Step 3: Cross multiply
    1,142.08x = 1,711.74 × 524.92
  4. Step 4: Simplify right side
    1,142.08x = 898,526.56
  5. Step 5: Solve for x
    x = 898,526.56/1,142.08
  6. Step 6: Final answer
    x = 786.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.